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Family of multi-speed transmission mechanisms with three non-continuously
interconnected planetary gear sets

Abstract

The family of transmissions has a plurality of members that can be utilized
in powertrains to provide at least seven forward speed ratios and one
reverse speed ratio. The transmission family members include three
planetary gear sets having six torque-transmitting mechanisms. The
powertrain includes an engine and torque converter that is continuously
connected to at least one member of the planetary gear arrangement and an
output member that is continuously connected with another of the planetary
gear members. One planetary gear member is continuously connected with the
transmission housing. The six torque-transmitting mechanisms provide
interconnections between various gear members and with the transmission
housing, and are operated in combinations of four to establish at least
seven forward speed ratios and one reverse speed ratio.

1. A family of transmissions wherein each family member comprises: an input shaft; an output shaft; first, second and third planetary gear sets each having first, second and
third members; said input shaft being continuously interconnected with at least one member of said planetary gear sets, said output shaft being continuously interconnected with another member of said planetary gear sets; said first member of said
second planetary gear set being continuously connected with a transmission housing; a first torque-transmitting mechanism selectively interconnecting a member of said first planetary gear set with a member of said second or third planetary gear set; a
second torque-transmitting mechanism selectively interconnecting a member of said second planetary gear set with a member of said first or third planetary gear set; a third torque-transmitting mechanism selectively interconnecting a member of said third
planetary gear set with a member of said first or second planetary gear set; a fourth torque-transmitting mechanism selectively interconnecting a member of said first or second planetary gear sets with another member of said first, second or third
planetary gear set; a fifth torque-transmitting mechanism selectively interconnecting a member of said first, second or third planetary gear set with another member of said first, second or third planetary gear set; and a sixth torque-transmitting
mechanism selectively interconnecting a member of the first or third planetary gear set with said transmission housing or with another member of said first, second or third planetary gear set; and said torque-transmitting mechanisms being engaged in
combinations of four to establish at least seven forward speed ratios and a reverse speed ratio between said input shaft and said output shaft.

3. The family of transmissions defined in claim 1, wherein said first, second, third, fourth and fifth torque-transmitting mechanisms comprise clutches, and said sixth torque-transmitting mechanism comprises a brake.

4. The family of transmissions defined in claim 1, wherein planet carrier assembly members of each of said planetary gear sets are of the single-pinion type.

5. The family of transmissions defined in claim 1, wherein at least one planet carrier assembly member of said planetary gear sets is of the double-pinion type.

6. A family of transmissions having a plurality of family members wherein each family member comprises: an input shaft; an output shaft; a planetary gear arrangement having first, second and third planetary gear sets, each planetary gear set
having first, second and third members; said input shaft being continuously interconnected with at least one member of one of said planetary gear sets, said output shaft being continuously interconnected with another member of said planetary gear sets;
said first member of said second planetary gear set being continuously connected with a transmission housing; six torque-transmitting mechanisms for selectively interconnecting said members of said planetary gear sets with said transmission housing or
with other members of said planetary gear sets, said six torque-transmitting mechanisms being engaged in combinations of four to establish at least seven forward speed ratios and one reverse speed ratio between said input shaft and said output shaft.

7. The family of transmissions defined in claim 6, wherein a first of said six torque-transmitting mechanisms is operable for selectively interconnecting a member of said first planetary gear set with a member of said second or third planetary
gear set.

8. The family of transmissions defined in claim 6, wherein a second of said six torque-transmitting mechanisms is operable for selectively interconnecting a member of said second planetary gear set with a member of said first or third planetary
gear set.

9. The family of transmissions defined in claim 6, wherein a third of said six torque-transmitting mechanisms is selectively operable for interconnecting a member of said third planetary gear set with a member of said first or second planetary
gear set.

10. The family of transmissions defined in claim 6, wherein a fourth of said; six torque-transmitting mechanisms is selectively operable for interconnecting a member of said first or second planetary gear sets with another member of said first,
second or third planetary gear set.

11. The family of transmissions defined in claim 6, wherein a fifth of said six torque-transmitting mechanisms is selectively operable for interconnecting a member of said first, second or third planetary gear sets with another member of said
first, second or third planetary gear sets.

12. The family of transmissions defined in claim 6, wherein a sixth of said six torque-transmitting mechanisms selectively interconnects a member of said first or third planetary gear set with said transmission housing or with another member of
said first, second or third planetary gear set.

13. The family of transmissions in claim 6, wherein planet carrier assembly members of each of said planetary gear sets are of the single-pinion type.

14. The family of transmissions in claim 6, wherein at least one planet carrier assembly member of said planetary gear sets is of the double-pinion type.

Description

BACKGROUND OF THE INVENTION

1. Field of the Invention

The present invention relates to a family of power transmissions having three planetary gear sets that are controlled and non-continuously connected by six torque-transmitting devices to provide at least seven forward speed ratios and one reverse
speed ratio.

2. Background Art

Passenger vehicles include a powertrain that is comprised of an engine, multi-speed transmission, and a differential or final drive. The multi-speed transmission increases the overall operating range of the vehicle by permitting the engine to
operate through its torque range a number of times. The number of forward speed ratios that are available in the transmission determines the number of times the engine torque range is repeated. Early automatic transmissions had two speed ranges. This
severely limited the overall speed range of the vehicle and therefore required a relatively large engine that could produce a wide speed and torque range. This resulted in the engine operating at a specific fuel consumption point during cruising, other
than the most efficient point. Therefore, manually-shifted (countershaft transmissions) were the most popular.

With the advent of three- and four-speed automatic transmissions, the automatic shifting (planetary gear) transmission increased in popularity with the motoring public. These transmissions improved the operating performance and fuel economy of
the vehicle. The increased number of speed ratios reduces the step size between ratios and therefore improves the shift quality of the transmission by making the ratio interchanges substantially imperceptible to the operator under normal vehicle
acceleration.

It has been suggested that the number of forward speed ratios be increased to six or more. Six-speed transmissions are disclosed in U.S. Pat. No. 4,070,927 issued to Polak on Jan. 31, 1978; U.S. Pat. No. 6,071,208 issued to Koivunen on Jun. 6, 2000; U.S. Pat. No. 5,106,352 issued to Lepelletier on Apr. 21, 1992; and U.S. Pat. No. 5,599,251 issued to Beim and McCarrick on Feb. 4, 1997.

Six-speed transmissions offer several advantages over four and five-speed transmissions, including improved vehicle acceleration and improved fuel economy. While many trucks employ power transmissions, such as Polak, having six or more forward
gear ratios, passenger cars are still manufactured with three- and four-speed automatic transmissions and relatively few five or six-speed devices due to the size and complexity of these transmissions. The Polak transmission provides six forward speed
ratios with three planetary gear sets, two clutches, and three brakes. The Koivunen and Beim patents utilize six torque-transmitting devices including four brakes and two clutches to establish six forward speed ratios and a reverse ratio. The
Lepelletier patent employs three planetary gear sets, three clutches and two brakes to provide six forward speeds. One of the planetary gear sets is positioned and operated to establish two fixed speed input members for the remaining two planetary gear
sets.

Seven-speed transmissions are disclosed in U.S. Pat. Nos. 4,709,594 to Maeda; U.S. Pat. No. 6,053,839 to Baldwin et. al.; and U.S. Pat. No. 6,083,135 to Baldwin et. al. Seven- and eight-speed transmissions provide further improvements in
acceleration and fuel economy over six-speed transmissions. However, like the six-speed transmissions discussed above, the development of seven- and eight-speed transmissions has been precluded because of complexity, size and cost.

SUMMARY OF THE INVENTION

It is an object of the present invention to provide an improved family of transmissions having three planetary gear sets controlled to provide at least seven forward speed ratios and one reverse speed ratio.

In one aspect of the present invention, the family of transmissions has three planetary gear sets, each of which includes a first, second and third member, which members may comprise a sun gear, a ring gear, or a planet carrier assembly member.

In referring to the first, second and third gear sets in this description and in the claims, these sets may be counted "first" to "third" in any order (i.e., left-to-right, right-to-left, etc.) in the drawings corresponding with different family
members.

In another aspect of the present invention, each of the planetary gear sets may be of the single pinion-type or of the double pinion-type.

In yet another aspect of the present invention, the first member of the second planetary gear set is continuously connected to a transmission housing.

In yet a further aspect of the invention, each family member incorporates an input shaft which is continuously interconnected with at least one member of the planetary gear sets and an output shaft which is continuously connected with another
member of the planetary gear sets.

In still a further aspect of the invention, a first torque-transmitting mechanism, such as a clutch, selectively interconnects a member of the first planetary gear set with a member of the second or third planetary gear set.

In another aspect of the invention, a second torque-transmitting mechanism, such as a clutch, selectively interconnects a member of the second planetary gear set with a member of the first or third planetary gear set.

In a still further aspect of the invention, a third torque-transmitting mechanism, such as a clutch, selectively interconnects a member of the third planetary gear set with a member of the first or second planetary gear set.

In a still further aspect of the invention, a fourth torque-transmitting mechanism, such as a clutch, selectively interconnects a member of the first or second planetary gear set with another member of the first, second or third planetary gear
set.

In a still further aspect of the invention, a fifth torque-transmitting mechanism, such as a clutch, selectively interconnects a member of the first, second or third planetary gear set with another member of the first, second or third planetary
gear set.

In still another aspect of the invention, a sixth torque-transmitting mechanism, such as a clutch, selectively interconnects a member of the first or third planetary gear set with another member of the first, second or third planetary gear set.
Alternatively, the sixth torque transmitting mechanism, such as a brake, selectively connects a member of the first or third planetary gear set with the transmission housing.

In still another aspect of the invention, the six torque-transmitting mechanisms are selectively engageable in combinations of four to yield at least seven forward speed ratios and one reverse speed ratio.

The above object and other
objects, features, and advantages of the present invention are readily apparent from the following detailed description of the best modes for carrying out the invention when taken in connection with the accompanying drawings.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1a is a schematic representation of a powertrain including a planetary transmission incorporating a family member of the present invention;

FIG. 1b is a truth table and chart of some of the operating characteristics of the powertrain shown in FIG. 1a;

FIG. 2a is a schematic representation of a powertrain having a planetary transmission incorporating another family member of the present invention;

FIG. 2b is a truth table and chart depicting some of the operating characteristics of the powertrain shown in FIG. 2a;

FIG. 3a is a schematic representation of a powertrain having a planetary transmission incorporating another family member of the present invention;

FIG. 3b is a truth table and chart depicting some of the operating characteristics of the powertrain shown in FIG. 3a;

FIG. 4a is a schematic representation of a powertrain having a planetary transmission incorporating another family member of the present invention;

FIG. 4b is a truth table and chart depicting some of the operating characteristics of the powertrain shown in FIG. 4a;

FIG. 5a is a schematic representation of a powertrain having a planetary transmission incorporating another family member of the present invention;

FIG. 5b is a truth table and chart depicting some of the operating characteristics of the powertrain shown in FIG. 5a;

FIG. 6a is a schematic representation of a powertrain having a planetary transmission incorporating another family member of the present invention;

FIG. 6b is a truth table and chart depicting some of the operating characteristics of the powertrain shown in FIG. 6a;

FIG. 7a is a schematic representation of a powertrain having a planetary transmission incorporating another family member of the present invention;

FIG. 7b is a truth table and chart depicting some of the operating characteristics of the powertrain shown in FIG. 7a;

FIG. 8a is a schematic representation of a powertrain having a planetary transmission incorporating another family member of the present invention;

FIG. 8b is a truth table and chart depicting some of the operating characteristics of the powertrain shown in FIG. 8a;

FIG. 9a is a schematic representation of a powertrain having a planetary transmission incorporating another family member of the present invention;

FIG. 9b is a truth table and chart depicting some of the operating characteristics of the powertrain shown in FIG. 9a;

FIG. 10a is a schematic representation of a powertrain having a planetary transmission incorporating another family member of the present invention;

FIG. 10b is a truth table and chart depicting some of the operating characteristics of the powertrain shown in FIG. 10a;

FIG. 11a is a schematic representation of a powertrain having a planetary transmission incorporating another family member of the present invention;

FIG. 11b is a truth table and chart depicting some of the operating characteristics of the powertrain shown in FIG. 11a;

FIG. 12a is a schematic representation of a powertrain having a planetary transmission incorporating another family member of the present invention; and

FIG. 12b is a truth table and chart depicting some of the operating characteristics of the powertrain shown in FIG. 12a.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS

Referring to the drawings, wherein like characters represent the same or corresponding parts throughout the several views, there is shown in FIG. 1a a powertrain 10 having a conventional engine and torque converter 12, a planetary transmission
14, and a conventional final drive mechanism 16.

The planetary transmission 14 includes an input shaft 17 continuously connected with the engine and torque converter 12, a planetary gear arrangement 18, and an output shaft 19 continuously connected with the final drive mechanism 16. The
planetary gear arrangement 18 includes three planetary gear sets 20, 30 and 40.

The planetary gear set 20 includes a sun gear member 22, a ring gear member 24, and a planet carrier assembly 26. The planet carrier assembly 26 includes a plurality of pinion gears 27 rotatably mounted on a carrier member 29 and disposed in
meshing relationship with both the sun gear member 22 and the ring gear member 24.

The planetary gear set 30 includes a sun gear member 32, a ring gear member 34, and a planet carrier assembly member 36. The planet carrier assembly member 36 includes a plurality of pinion gears 37 rotatably mounted on a carrier member 39 and
disposed in meshing relationship with both the sun gear member 32 and the ring gear member 34.

The planetary gear set 40 includes a sun gear member 42, a ring gear member 44, and a planet carrier assembly member 46. The planet carrier assembly member 46 includes a plurality of pinion gears 47 rotatably mounted on a carrier member 49 and
disposed in meshing relationship with both the sun gear member 42 and the ring gear member 44.

The input shaft 17 is continuously connected with the sun gear member 32, and the output shaft 19 is continuously connected with the ring gear member 44. The ring gear member 34 is continuously connected with the transmission housing 60.

The planet carrier assembly member 46 is selectively connectable with the planet carrier assembly member 26 through the clutch 50. The ring gear member 24 is selectively connectable with the planet carrier assembly member 36 through the clutch
52. The ring gear member 24 is selectively connectable with the sun gear member 42 through the clutch 54. The sun gear member 22 is selectively connectable with the sun gear member 42 through the clutch 56. The sun gear member 32 is selectively
connectable with the planet carrier assembly member 46 through the clutch 58. The planet carrier assembly member 26 is selectively connectable with the transmission housing 60 through the brake 59.

As shown in FIG. 1b, and in particular the truth table disclosed therein, the torque-transmitting mechanisms are selectively engaged in combinations of four to provide seven forward speed ratios and a reverse speed ratio. It should also be noted
in the truth table that the torque-transmitting mechanisms 50, 52 and 59 remain engaged through a neutral condition, thereby simplifying the forward/reverse interchange.

The reverse speed ratio is established with the engagement of the clutches 50, 52, 54 and brake 59. The clutch 50 connects the planet carrier assembly member 46 to the planet carrier assembly member 26. The clutch 52 connects the ring gear
member 24 to the planet carrier assembly member 36. The clutch 54 connects the ring gear member 24 to the sun gear member 42. The brake 59 connects the planet carrier assembly member 26 to the transmission housing 60. The planet carrier assembly
members 26 and 46 do not rotate. The ring gear member 24 rotates at the same speed as the planet carrier assembly member 36 and the sun gear member 42. The ring gear member 34 does not rotate. The sun gear member 32 rotates at the same speed as the
input shaft 17. The planet carrier assembly member 36 rotates at a speed determined from the speed of the sun gear member 32 and the ring gear/sun gear tooth ratio of the planetary gear set 30. The ring gear member 44 rotates at the same speed as the
output shaft 19. The ring gear member 44, and therefore the output shaft 19, rotates at a speed determined from the speed of the sun gear member 42 and the ring gear/sun gear tooth ratio of the planetary gear set 40. The numerical value of the reverse
speed ratio is determined utilizing the ring gear/sun gear tooth ratios of the planetary gear sets 30 and 40.

The first forward speed ratio is established with the engagement of the clutches 50, 52, 56 and the brake 59. The clutch 50 connects the planet carrier assembly member 26 to the planet carrier assembly member 46. The clutch 52 connects the ring
gear member 24 to the planet carrier assembly member 36. The clutch 56 connects the sun gear member 22 to the sun gear member 42. The brake 59 connects the planet carrier assembly member 26 to the transmission housing 60. The planet carrier assembly
members 26 and 46 do not rotate. The ring gear member 24 rotates at the same speed as the planet carrier assembly member 36. The sun gear member 22 rotates at the same speed as the sun gear member 42. The ring gear member 24 rotates at a speed
determined from the speed of the sun gear member 22 and the ring 7 gear/sun gear tooth ratio of the planetary gear set 20. The ring gear member 34 does not rotate. The sun gear member 32 rotates at the same speed as the input shaft 17. The planet
carrier assembly member 36 rotates at a speed determined from the speed of the sun gear member 32 and the ring gear/sun gear tooth ratio of the planetary gear set 30. The ring gear member 44 rotates at the same speed as the output shaft 19. The ring
gear member 44, and therefore the output shaft 19, rotates at a speed determined from the speed of the sun gear member 42 and the ring gear/sun gear tooth ratio of the planetary gear set 40. The numerical value of the first forward speed ratio is
determined utilizing the ring gear/sun gear tooth ratios of the planetary gear sets 20, 30 and 40.

The second forward speed ratio is established with the engagement of the clutches 50, 52, 54, 56. The clutch 50 connects the planet carrier assembly member 26 to the planet carrier assembly member 46. The clutch 52 connects the ring gear member
24 to the planet carrier assembly member 36. The clutch 54 connects the ring gear member 24 to the sun gear member 42. The clutch 56 connects the sun gear member 22 to the sun gear member 42. The ring gear member 24 rotates at the same speed as the
planet carrier assembly member 36, the sun gear member 42, and sun gear member 22. The planet carrier assembly member 26 rotates at the same speed as the planet carrier assembly member 46. The ring gear member 34 does not rotate. The sun gear member
32 rotates at the same speed as the input shaft 17. The planet carrier assembly member 36 rotates at a speed determined from the speed of the sun gear member 32 and the ring gear/sun gear tooth ratio of the planetary gear set 30. The ring gear member
44 rotates at the same speed as the output shaft 19. The numerical value of the second forward speed ratio is determined utilizing the ring gear/sun gear tooth ratio of the planetary gear set 30.

The third forward speed ratio is established with the engagement of the clutches 50, 52, 56, 58. The clutch 50 connects the planet carrier assembly member 26 to the planet carrier assembly member 46. The clutch 52 connects the ring gear member
24 to the planet carrier assembly member 36. The clutch 56 connects the sun gear member 22 to the sun gear Member 42. The clutch 58 connects the sun gear member 32 to the planet carrier assembly member 46. The ring gear member 24 rotates at the same
speed as the planet carrier assembly member 36. The planet carrier assembly member 26 rotates at the same speed as the planet carrier assembly member 46, the sun gear member 32, and the input shaft 17. The sun gear member 22 rotates at the same speed
as the sun gear member 42. The speed of the sun gear member 22 is determined from the speed of the ring gear member 24, the speed of the planet carrier assembly member 26, and the ring gear/sun gear tooth ratio of the planetary gear set 20. The ring
gear member 34 does not rotate. The planet carrier assembly member 36 rotates at a speed determined from the speed of the sun gear member 32 and the ring gear/sun gear tooth ratio of the planetary gear set 30. The ring gear member 44 rotates at the
same speed as the output shaft 19. The ring gear member 44, and therefore the output shaft 19, rotates at a speed determined from the speed of the planet carrier assembly member 46, the speed of the sun gear member 42, and the ring gear/sun gear tooth
ratio of the planetary gear set 40. The numerical value of the third forward speed ratio is determined utilizing the ring gear/sun gear tooth ratios of the planetary gear sets 20, 30 and 40.

The fourth forward speed ratio is established with the engagement of the clutches 50, 54, 56, 58. In this configuration, the input shaft 17 is directly connected to the output shaft 19. The numerical value of the fourth forward speed ratio is
1.

The fifth forward speed ratio is established with the engagement of the clutches 52, 54, 56, 58. The clutch 52 connects the ring gear member 24 to the planet carrier assembly member 36. The clutch 54 connects the ring gear member 24 to the sun
gear member 42. The clutch 56 connects the sun gear member 22 to the sun gear member 42. The clutch 58 connects the sun gear member 32 to the planet carrier assembly member 46. The ring gear member 24 rotates at the same speed as the planet carrier
assembly member 36, and the sun gear members 22, 42. The ring gear member 34 does not rotate. The sun gear member 32 rotates at the same speed as the planet carrier assembly member 46 and the input shaft 17. The planet carrier assembly member 36
rotates at a speed determined from the speed of the sun gear member 32 and the ring gear/sun gear tooth ratio of the planetary gear set 30. The ring gear member 44 rotates at the same speed as the output shaft 19. The ring gear member 44, and therefore
the output shaft 19, rotates at a speed determined from the speed of the planet carrier assembly member 46, the speed of the sun gear member 42, and the ring gear/sun gear tooth ratio of the planetary gear set 40. The numerical value of the fifth
forward speed ratio is determined utilizing the ring gear/sun gear tooth ratios of the planetary gear sets 30 and 40.

The sixth forward speed ratio is established with the engagement of the clutches 54, 56, 58 and the brake 59. The clutch 54 connects the ring gear member 24 to the sun gear member 42. The clutch 56 connects the sun gear member 22 to the sun
gear member 42. The clutch 58 connects the sun gear member 32 to the planet carrier assembly member 46. The brake 59 connects the planet carrier assembly member 26 to the transmission housing 60. The planet carrier assembly member 26 does not rotate.
The ring gear member 24 rotates at the same speed as the sun gear members 22, 42. The ring gear member 34 does not rotate. The sun gear member 32 rotates at the same speed as the planet carrier assembly member 46 and the input shaft 17. The ring gear
member 44 rotates at the same speed as the output shaft 19. The ring gear member 44, and therefore the output shaft 19, rotates at a speed determined from the speed of the planet carrier assembly member 46, the speed of the sun gear member 42, and the
ring gear/sun gear tooth ratio of the planetary gear set 40. The numerical value of the sixth forward speed ratio is determined utilizing the ring gear/sun gear tooth ratio of the planetary gear set 40.

The seventh forward speed ratio is established with the engagement of the clutches 52, 56, 58 and the brake 59. The clutch 52 connects the ring gear member 24 to the planet carrier assembly member 36. The clutch 56 connects the sun gear member
22 to the sun gear member 42. The clutch 58 connects the sun gear member 32 to the planet carrier assembly member 46. The brake 59 connects the planet carrier assembly member 26 to the transmission housing 60. The planet carrier assembly member 26
does not rotate. The ring gear member 24 rotates at the same speed as the planet carrier assembly member 36. The sun gear member 22 rotates at the same speed as the sun gear member 42. The sun gear member 22 rotates at a speed determined from the
speed of the ring gear member 24 and the ring gear/sun gear tooth ratio of the planetary gear set 20. The ring gear member 34 does not rotate. The sun gear member 32 rotates at the same speed as the planet carrier assembly member 46 and the input shaft
17. The planet carrier assembly member 36 rotates at a speed determined from the speed of the sun gear member 32 and the ring gear/sun gear tooth ratio of the planetary gear set 30. The ring gear member 44 rotates at the same speed as the output shaft
19. The ring gear member 44, and therefore the output shaft 19, rotates at a speed determined from the speed of the planet carrier assembly member 46, the speed of the sun gear member 42, and the ring gear/sun gear tooth ratio of the planetary gear set
40. The numerical value of the seventh forward speed ratio is determined utilizing the ring gear/sun gear tooth ratios of the planetary gear sets 20, 30 and 40.

As set forth above, the engagement schedule for the torque-transmitting mechanisms is shown in the truth table of FIG. 1b. This truth table also provides an example of speed ratios that are available utilizing the ring gear/sun gear tooth ratios
given by way of example in

FIG. 1b. The R1/S1 value is the tooth ratio of the planetary gear set 20; the R2/S2 value is the tooth ratio of the planetary gear set 30; and the R3/S3 value is the tooth ratio of the planetary gear set 40. Also, the chart of FIG. 1b describes
the ratio steps that are attained utilizing the sample of tooth ratios given. For example, the step ratio between the first and second forward speed ratios is 1.74, while the step ratio between the reverse and first forward ratio is -1.51. It can also
be readily determined from the truth t able of FIG. 1b that all of the single step forward ratio interchanges are of the single transition variety, as are the double step forward ratio interchanges.

FIG. 2a shows a powertrain 110 having a conventional engine and torque converter 12, a planetary transmission 114, and a conventional final drive mechanism 16.

The planetary transmission 114 includes an input shaft 17 continuously connected with the engine and torque converter 12, a planetary gear arrangement 118, and an output shaft 19 continuously connected with the final drive mechanism 16. The
planetary gear arrangement 118 includes three planetary gear sets 120, 130 and 140.

The planetary gear set 120 includes a sun gear member 122, a ring gear member 124, and a planet carrier assembly 126. The planet carrier assembly 126 includes a plurality of pinion gears 127 rotatably a mounted on a carrier member 129 and
disposed in meshing relationship with both the sun gear member 122 and the ring gear member 124.

The planetary gear set 130 includes a sun gear member 132, a ring gear member 134, and a planet carrier assembly member 136. The planet carrier assembly member 136 includes a plurality of pinion gears 137 rotatably mounted on a carrier member
139 and disposed in meshing relationship with both the sun gear member 132 and the ring gear member 134.

The planetary gear set 140 includes a sun gear member 142, a ring gear member 144, and a planet carrier assembly member 146. The planet carrier assembly member 146 includes a plurality of pinion gears 147 rotatably mounted on a carrier member
149 and disposed in meshing relationship with both the sun gear member 142 and the ring gear member 144.

The input shaft 17 is continuously connected with the sun gear member 122, and the output shaft 19 is continuously connected with the ring gear member 144. The sun gear member 132 is continuously connected with the transmission housing 160.

The planet carrier assembly member 146 is selectively connectable with the sun gear member 122 through the clutch 150. The planet carrier assembly member 126 is selectively connectable with the ring gear member 134 through the clutch 152. The
ring gear member 124 is selectively connectable with the sun gear member 142 through the clutch 154. The planet carrier assembly member 136 is selectively connectable with the planet carrier assembly member 146 through the clutch 156. The planet
carrier assembly member 136 is selectively connectable with the sun gear member 142 through the clutch 158. The planet carrier assembly member 126 is selectively connectable with the transmission housing 160 through the clutch 159.

The reverse speed ratio is established with the engagement of the clutches 154, 156, 158 and the brake 159. The clutch 154 connects the ring gear member 124 to the sun gear member 142. The clutch 156 connects the planet carrier assembly member
136 to the planet carrier assembly member 146. The clutch 158 connects the planet carrier assembly member 136 to the sun gear member 142. The brake 159 connects the planet carrier assembly member 126 to the transmission housing 160.The planet carrier
assembly member 126 does not rotate. The sun gear member 122 rotates at the same speed as the input shaft 17. The ring gear member 124 rotates at the same speed as the sun gear member 142, and the planet carrier assembly members 136, 146. The ring
gear member 124 rotates at a speed determined from the speed of the sun gear member 122 and the ring gear/sun gear tooth ratio of the planetary gear set 120. The ring gear member 144 rotates at the same speed as the output shaft 19. The numerical value
of the reverse speed ratio is determined utilizing the ring gear/sun gear tooth ratio of the planetary gear set 120.

The first forward speed ratio is established with the engagement of the clutches 152, 154, 156 and the brake 159. The clutch 152 connects the planet carrier assembly member 126 to the ring gear member 134. The clutch 154 connects the ring gear
member 124 to the sun gear member 142. The clutch 156 connects the planet carrier assembly member 136 to the planet carrier assembly member 146. The brake 159 connects the planet carrier assembly member 126 to the transmission housing 160. The planet
carrier assembly members 126, 146 and the planetary gear set 120 do not rotate. The sun gear member 122 rotates at the same speed as the input shaft 17. The ring gear member 124 rotates at the same speed as the sun gear member 142. The ring gear
member 124 rotates at a speed determined from the speed of the sun gear member 122 and the ring gear/sun gear tooth ratio of the planetary gear set 120. The ring gear member 144 rotates at the same speed as the output shaft 19. The ring gear member
144, and therefore the output shaft 19, rotates at a speed determined from the speed of the sun gear member 142 and the ring gear/sun gear tooth ratio of the planetary gear set 140. The numerical value of the first forward speed ratio is determined
utilizing the ring gear/sun gear tooth ratios of the planetary gear sets 120 and 140.

The second forward speed ratio is established with the engagement of the clutches 152, 154, 156, 158. The clutch 152 connects the planet carrier assembly member 126 to the ring gear member 134. The clutch 154 connects the ring gear member 124
to the sun gear member 142. The clutch 156 connects the planet carrier assembly member 136 to the planet carrier assembly member 146. The clutch 158 connects the planet carrier assembly member 136 to the sun gear member 142. The sun gear member 122
rotates at the same speed as the input shaft 17. The planet carrier assembly member 126 rotates at the same speed as the ring gear member 134. The ring gear member 124 rotates at the same speed as the sun gear member 142 and the planet carrier assembly
members 136, 146. The planet carrier assembly member 126 rotates at a speed determined from the speed of the ring gear member 124, the speed, of the sun gear member 122, and the ring gear/sun gear tooth ratio of the planetary gear set 120. The sun gear
member 132 does not rotate. The planet carrier assembly member 136 rotates at a speed determined from the speed of the ring gear member 134 and the ring gear/sun gear tooth ratio of the planetary gear set 130. The ring gear member 144 rotates at the
same speed as the output shaft 19. The numerical value of the second forward speed ratio is determined utilizing the ring gear/sun gear tooth ratios of the planetary gear sets 120 and 130.

The third forward speed ratio is established with the engagement of the clutches 150, 152, 154, 156. The clutch 150 connects the sun gear member 122 to the planet carrier assembly member 146. The clutch 152 connects the planet carrier assembly
member 126 to the ring gear member 134. The clutch 154 connects the ring gear member 124 to the sun gear member 142. The clutch 156 connects the planet carrier assembly member 136 to the planet carrier assembly member 146. The ring gear member 124
rotates at the same speed as the sun gear member 142. The planet carrier assembly member 126 rotates at the same speed as the ring gear member 134. The sun gear member 122 rotates at the, same speed as the input shaft 17 and the planet carrier assembly
members 136, 146. The planet carrier assembly member 126 rotates at a speed determined from the speed of the ring gear member 124, the speed of the sun gear member 122, and the ring gear/sun gear tooth ratio of the planetary gear set 120. The sun gear
member 132 does not rotate. The planet carrier assembly member 136 rotates at a speed determined from the speed of the ring gear member 134 and the ring gear/sun gear tooth ratio of the planetary gear set 130. The ring gear member 144 rotates at the
same speed as the output shaft 19. The ring gear member 144, and therefore the output shaft 19, rotates at a speed determined from the speed of the planet carrier assembly member 146, the speed of the sun gear member 142, and the ring gear/sun gear
tooth ratio of the planetary gear set 140. The numerical value of the third forward speed ratio is determined utilizing the ring gear/sun gear tooth ratios of the planetary gear sets 120, 130 and 140.

The fourth forward speed ratio is established with the engagement of the clutches 150, 154, 156, 158. In this configuration, the input shaft 17 is directly connected to the output shaft 19. The numerical value of the fourth forward speed ratio
is 1.

The fifth forward speed ratio is established with the engagement of the clutches 150, 152, 154, 158. The clutch 150 connects the sun gear member 122 to the planet carrier assembly member 146. The clutch 152 connects the planet carrier assembly
member 126 to the ring gear member 134. The clutch 154 connects the ring gear member 124 to the sun gear member 142. The clutch 158 connects the planet carrier assembly member 136 to the sun gear member 142. The ring gear member 124 rotates at the
same speed as the sun gear member 142 and the planet carrier assembly member 136. The planet carrier assembly member 126 rotates at the same speed as the ring gear member 134. The sun gear member 122 rotates at the same speed as the input shaft 17 and
the planet carrier assembly member 146. The planet carrier assembly member 126 rotates at a speed determined from the speed of the ring gear member 124, the speed of the sun gear member 122, and the ring gear/sun gear tooth ratio of the planetary gear
set 120. The sun gear member 132 does not rotate. The planet carrier assembly member 136 rotates at a speed determined from the speed of the ring gear member 134 and the ring gear/sun gear tooth ratio of the planetary gear set 130. The ring gear
member 144 rotates at the same speed as the output shaft 19. The ring gear member 144, and therefore the output shaft 19, rotates at a speed determined from the speed of the planet carrier assembly member 146, the speed of the sun gear member 142, and
the ring gear/sun gear tooth ratio of the planetary gear set 140. The numerical value of the fifth forward speed ratio is determined utilizing the ring gear/sun gear tooth ratios of the planetary gear sets 120, 130 and 140.

The sixth forward speed ratio is established with the engagement of the clutches 150, 152, 158 and the brake 159. The clutch 150 connects the sun gear member 122 to the planet carrier assembly member 146. The clutch 152 connects the planet
carrier assembly member 126 to the ring gear member 134. The clutch 158 connects the planet carrier assembly member 136 to the sun gear member 142. The brake 159 connects the planet carrier assembly member 126 to the transmission housing 160. The
planet carrier assembly member 126, sun gear member 142, and the planetary gear set 130 do not rotate. The sun gear member 122 rotates at the same speed as the input shaft 17 and the planet carrier assembly member 146. The ring gear member 144 rotates
at the same speed as the output shaft 19. The ring gear member 144, and therefore the output shaft 19, rotates at a speed determined from the speed of the planet carrier assembly member 146 and the ring gear/sun gear tooth ratio of the planetary gear
set 140. The numerical value of the sixth forward speed ratio is determined utilizing the ring gear/sun gear tooth ratio of the planetary gear set 140.

The seventh forward speed ratio is established with the engagement of the clutches 150, 152, 154 and the brake 159. The clutch 150 connects the sun gear member 122 to the planet carrier assembly member 146. The clutch 152 connects the planet
carrier assembly member 126 to the ring gear member 134. The clutch 154 connects the ring gear member 124 to the sun gear member 142. The brake 159 connects the planet carrier assembly member 126 to the transmission housing 160. The planet carrier
assembly member 126 and planetary gear set 130 do not rotate. The ring gear member 124 rotates at the same speed as the sun gear member 142. The sun gear member 122 rotates at the same speed as the input shaft 17 and the planet carrier assembly member
146. The ring gear member 124 rotates at a speed determined from the speed of the sun gear member 122 and the ring gear/sun gear tooth ratio of the planetary gear set 120. The ring gear member 144 rotates at the same speed as the output shaft 19. The
ring gear member 144, and therefore the output shaft 19, rotates at a speed determined from the speed of the planet carrier assembly member 146, the speed of the sun gear member 142, and the ring gear/sun gear tooth ratio of the planetary gear set 140.
The numerical, value of the seventh forward speed ratio is determined utilizing the ring gear/sun gear tooth ratios of the planetary gear sets 120 and 140.

As set forth above, the truth table of FIG. 2b describes the engagement sequence of the torque-transmitting mechanisms utilized to provide a reverse drive ratio and seven forward speed ratios. It can be readily determined from the truth table
that all of the single step forward interchanges are of the single transition type, as are the double step forward interchanges. The truth table also provides an example of the ratios that can be attained with the family members shown in FIG. 2a
utilizing the sample tooth ratios given in FIG. 2b. The R1/S1 value is the tooth ratio of the planetary gear set 120; the R2/S2 value is the tooth ratio of the planetary gear set 130; and the R3/S3 value is the tooth ratio of the planetary gear set 140. Also shown in FIG. 2b are the ratio steps between single step ratios in the forward direction as well as the reverse to first ratio step ratio. For example, the first to second step ratio is 1.73.

Turning to FIG. 3a, a powertrain 210 includes the engine and torque converter 12, a planetary transmission 214, and a final drive mechanism 16. The planetary transmission 214 includes an input shaft 17 continuously connected with the engine and
torque converter 12, a planetary gear arrangement 218, and an output shaft 19 continuously connected with, the final drive mechanism 16. The planetary gear arrangement 218 includes three planetary gear sets 220, 230 and 240.

The planetary gear set 220 includes a sun gear member 222, a ring gear member 224, and a planet carrier assembly 226. The planet carrier assembly 226 includes a plurality of pinion gears 227 rotatably mounted on a carrier member 229 and disposed
in meshing relationship with both the sun gear member 222 and the ring gear member 224.

The planetary gear set 230 includes a sun gear member 232, a ring gear member 234, and a planet carrier assembly member 236. The planet carrier assembly member 236 includes a plurality of pinion gears 237 rotatably mounted on a carrier member
239 and disposed in meshing relationship with both the sun gear member 232 and the ring gear member 234.

The planetary gear set 240 includes a sun gear member 242, a ring gear member 244, and a planet carrier assembly member 246. The planet carrier assembly member 246 includes a plurality of pinion gears 247 rotatably mounted on a carrier member
249 and disposed in meshing relationship with both the sun gear member 242 and the ring gear member 244.

The input shaft 17 is continuously connected with the ring gear member 224, and the output shaft 19 is continuously connected with the ring gear member 244. The sun gear member 232 is continuously connected with the transmission housing 260.

The ring gear member 224 is selectively connectable with the planet carrier assembly member 246 through the clutch 250. The sun gear member 222 is selectively connectable with the ring gear member 234 through the clutch 252. The planet carrier
assembly member 226 is selectively connectable with the sun gear member 242 through the clutch 254. The ring gear member 234 is selectively connectable with the sun gear member 242 through the clutch 256. The planet carrier assembly member 236 is
selectively connectable with the planet carrier assembly member 246 through the clutch 258.

As shown in the truth table in FIG. 3b, the torque-transmitting mechanisms are engaged in combinations of four to establish seven forward speed ratios and one reverse ratio.

The reverse speed ratio is established with the engagement of the clutches 252, 254, 258 and the brake 259. The clutch 252 connects the sun gear member 222 to the ring gear member 234. The clutch 254 connects the planet carrier assembly member
226 to the sun gear member 242. The clutch 258 connects the planet carrier assembly member 236 to the planet carrier assembly member 246. The brake 259 connects the sun gear member 222 to the transmission housing 260. The ring gear member 224 rotates
at the same speed as the input shaft 17. The planet carrier assembly member 226 rotates at the same speed as the sun gear member 242. The sun gear member 222, planetary gear set 230, and the planet carrier assembly member 246 do not rotate. The planet
carrier assembly member 226 rotates at a speed determined from the speed of the ring gear member 224 and the ring gear/sun gear tooth ratio of the planetary gear set 220. The ring gear member 244 rotates at the same speed as the output shaft 19. The
ring gear member 244, and therefore the output shaft 19, rotates at a speed determined from the speed of the sun gear member 242, and the ring gear/sun gear tooth ratio of the planetary gear set 240. The numerical value of the reverse speed ratio is
determined utilizing the ring gear/sun gear tooth ratios of the planetary gear sets 220 and 240.

The first forward speed ratio is established with the engagement of the clutches 254, 256, 258 and the brake 259. The clutch 254 connects the planet carrier assembly member 226 to the sun gear member 242. The clutch 256 connects the ring gear
member 234 to the sun gear member 242. The clutch 258 connects the planet carrier assembly member 236 to the planet carrier assembly member 246. The brake 259 connects the sun gear member 222 to the transmission housing 260. The ring gear member 224
rotates at the same speed as the input shaft 17. The planet carrier assembly member 226 rotates at the same speed as the sun gear member 242 and the ring gear member 234. The planet carrier assembly member 226 rotates at a speed determined from the
speed of the ring gear member 224 and the ring gear/sun gear tooth ratio of the planetary gear set 220. The sun gear member 232 does not rotate. The planet carrier assembly member 236 rotates at the same speed as the planet carrier assembly member 246. The planet carrier assembly member 236 rotates at a speed determined from the speed of the ring gear member 234 and the ring gear/sun gear tooth ratio of the planetary gear set 230. The ring gear member 244 rotates at the same speed as the output shaft
19. The ring gear member 244, and therefore the output shaft 19, rotates at a speed determined from the speed of the planet carrier assembly member 246, the speed of the sun gear member 242, and the ring gear/sun gear tooth ratio of the planetary gear
set 240. The numerical value of the first forward speed ratio is determined utilizing the ring gear/sun gear tooth ratios of the planetary gear sets 220, 230 and 240.

The second forward speed ratio is established with the engagement of the clutches 252, 254, 256, 258. The clutch 252 connects the sun gear member 222 to the ring gear member 234. The clutch 254 connects the planet carrier assembly member 226 to
the sun gear member 242. The clutch 256 connects the ring gear member 234 to the sun gear member 242. The clutch 258 connects the planet carrier assembly member 236 to the planet carrier assembly member 246. The ring gear member 224 rotates at the
same speed as the input shaft 17. The planet carrier assembly member 226 rotates at the same speed as the sun gear member 222, the ring gear member 234, and the sun gear member 242. The sun gear member 232 does not rotate. The planet carrier assembly
member 236 rotates at the same speed as the planet carrier assembly member 246. The planet carrier assembly member 236 rotates at a speed determined from the speed of the ring gear member 234 and the ring gear/sun gear tooth ratio of the planetary gear
set 230. The ring gear member 244 rotates at the same speed as the output shaft 19. The ring gear member 244, and therefore the output shaft 19, rotates at a speed determined from the speed of the planet carrier assembly member 246, the speed of the
sun gear member 242, and the ring gear/sun gear tooth ratio of the planetary gear set 240. The numerical value of the second forward speed ratio is determined utilizing the ring gear/sun gear tooth ratios of the planetary gear sets 230 and 240.

The third forward speed ratio is established with the engagement of the clutches 250, 252, 256, 258. The clutch 250 connects the ring gear member 224 to the planet carrier assembly member 246. The clutch 252 connects the sun gear member 222 to
the ring gear member 234. The clutch 256 connects the ring gear member 234 to the sun gear member 242. The clutch 258 connects the planet carrier assembly member 236 to the planet carrier assembly member 246. The ring gear member 224 rotates at the
same speed as the input shaft 17 and the planet carrier assembly members 236, 246. The sun gear member 222 rotates at the same speed as the ring gear member 234 and the sun gear member 242. The sun gear member 232 does not rotate. The planet carrier
assembly member 236 rotates at a speed determined from the speed of the ring gear member 234 and the ring gear/sun gear tooth ratio of the planetary gear set 230. The ring gear member 244 rotates at the same speed as the output shaft 19. The ring gear
member 244, and therefore the output shaft 19, rotates at a speed determined from the speed of the planet carrier assembly member 246, the speed of the sun gear member 242, and the ring gear/sun gear tooth ratio of the planetary gear set 240. The
numerical value of the third forward speed ratio is determined utilizing the ring gear/sun gear tooth ratios of the planetary gear sets 230 and 240.

The fourth forward speed ratio is established with the engagement of the clutches 250, 252, 254 and 258. The clutch 250 connects the ring gear member 224 to the planet carrier assembly member 246. The clutch 252 connects the sun gear member 222
to the ring gear member 234. The clutch 254 connects the planet carrier assembly member 226 to the sun gear member 242. The clutch 258 connects the planet carrier assembly member 236 to the planet carrier assembly member 246. The ring gear member 224
rotates at the same speed as the input shaft 17 and the planet carrier assembly members 236, 246. The planet carrier assembly member 226 rotates at the same speed as the sun gear member 242. The sun gear member 222 rotates at the same speed as the ring
gear member 234. The planet carrier assembly member 226 rotates at a speed determined from the speed of the ring gear member 224, the speed of the sun gear member 222, and the ring gear/sun gear tooth ratio of the planetary gear set 220. The sun gear
member 232 does not rotate. The planet carrier assembly member 236 rotates at a speed determined from the speed of the ring gear member 234 and the ring gear/sun gear tooth ratio of the planetary gear set 230. The ring gear member 244 rotates at the
same speed as the output shaft 19. The ring gear member 244, and therefore the output shaft 19, rotates at a speed determined from the speed of the planet carrier assembly member 246, the speed of the sun gear member 242, and the ring gear/sun gear
tooth ratio of the planetary gear set 240. The numerical value of the fourth forward speed ratio is determined utilizing the ring gear/sun gear tooth ratios of the planetary gear sets 220, 230 and 240.

The fifth forward speed ratio is established with the engagement of the clutches 250, 252, 254, 256. In this configuration, the input shaft 17 is directly connected to the output shaft 19. The numerical value of the fifth forward speed ratio is
1.

The sixth forward speed ratio is established with the engagement of the clutches 250, 252, 254 and the brake 259. The clutch 250 connects the ring gear member 224 to the planet carrier assembly member 246. The clutch 252 connects the sun gear
member 222 to the ring gear member 234. The clutch 254 connects the planet carrier assembly member 226 to the sun gear member 242. The brake 259 connects the sun gear member 222 to the transmission housing 260. The ring gear member 224 rotates at the
same speed as the input shaft 17 and the planet carrier assembly member 246. The planet carrier assembly member 226 rotates at the same speed as the sun gear member 242. The sun gear member 222 and the planetary gear set 230 do not rotate. The planet
carrier assembly member 226 rotates at a speed determined from the speed of the ring gear member 224 and the ring gear/sun gear tooth ratio of the planetary gear set 220. The ring gear member 244 rotates at the same speed as the output shaft 19. The
ring gear member 244, and therefore the output shaft 19, rotates at a speed determined from the speed of the planet carrier assembly member 246, the speed of the sun gear member 242, and the ring gear/sun gear tooth ratio of the planetary gear set 240.
The numerical value of the sixth forward speed ratio is determined utilizing the ring gear/sun gear tooth ratios of the planetary gear sets 220 and 240.

The seventh forward speed ratio is established with the engagement of the clutches 250, 252, 256 and the brake 259. The clutch 250 connects the ring gear member 224 to the planet carrier assembly member 246. The clutch 252 connects the sun gear
member 222 to the ring gear member 234. The clutch 256 connects the ring gear member 234 to the sun gear member 242. The brake 259 connects the sun gear member 222 to the transmission housing 260. The ring gear member 224 rotates at the same speed as
the input shaft 17 and the planet carrier assembly member 246. The sun gear members 222, 242 and the planetary gear set 230 do not rotate. The ring gear member 244 rotates at the same speed as the output shaft 19. The ring gear member 244, and
therefore the output shaft 19, rotates at a speed determined from the speed of the planet carrier assembly member 246 and the ring gear/sun gear tooth ratio of the planetary gear set 240. The numerical value of the seventh forward speed ratio is
determined utilizing the ring gear/sun gear tooth ratio of the planetary gear set 240.

As previously set forth, the truth table of FIG. 3b describes the combinations of engagements utilized for the seven forward speed ratios and reverse ratio. The truth table also provides an example of speed ratios that are available with the
family member described above. These examples of speed ratios are determined utilizing the tooth ratios given in FIG. 3b. The R1/S1 value is the tooth ratio of the planetary gear set 220; the R2/S2 value is the tooth ratio of the planetary gear set
230; and the R3/S3 value is the tooth ratio of the planetary gear set 240. Also depicted in FIG. 3b is a chart representing the ratio steps between adjacent forward speed ratios and the reverse speed ratio. For example, the first to second ratio
interchange has a step of 1.66. It can also be readily determined from the truth table of FIG. 3b that all of the single step forward ratio interchanges are of the single transition variety, as are all of the double step forward interchanges.

A powertrain 310, shown in FIG. 4a, includes the engine and torque converter 12, a planetary transmission 314, and the final drive mechanism 16. The planetary transmission 314 includes an input shaft 17 continuously connected with the engine and
torque converter 12, a planetary gear arrangement 318, and output shaft 19 continuously connected with the final drive mechanism 16. The planetary gear arrangement 318 includes three planetary gear sets 320, 330 and 340.

The planetary gear set 320 includes a sun gear member 322, a ring gear member 324, and a planet carrier assembly member 326. The planet carrier assembly member 326 includes a plurality of pinion gears 327 rotatably mounted on a carrier member
329 and disposed in meshing relationship with both the sun gear member 322 and the ring gear member 324.

The planetary gear set 330 includes a sun gear member 332, a ring gear member 334, and a planet carrier assembly member 336. The planet carrier assembly member 336 includes a plurality of pinion gears 337 rotatably mounted on a carrier member
339 and disposed in meshing relationship with both the sun gear member 332 and the ring gear member 334.

The planetary gear set 340 includes a sun gear member 342, a ring gear member 344, and a planet carrier assembly member 346. The planet carrier assembly member 346 includes a plurality of pinion gears 347 rotatably mounted on a carrier member
349 and disposed in meshing relationship with both the sun gear member 342 and the ring gear member 344.

The input shaft 17 is continuously connected with the sun gear member 322, and the output shaft 19 is continuously connected with the planet carrier assembly member 346. The sun gear member 332 is continuously connected with the transmission
housing 360.

The planet carrier assembly member 336 is selectively connectable with the ring gear member 324 through the clutch 350. The ring gear member 324 is selectively connectable with the planet carrier assembly member 346 through the clutch 352. The
planet carrier assembly member 326 is selectively connectable with the planet carrier assembly member 336 through the clutch 354. The planet carrier assembly member 326 is selectively connectable with the ring gear member 344 through the clutch 356.
The ring gear member 334 is selectively connectable with the sun gear member 342 through the clutch 358. The sun gear member 342 is selectively connectable with the transmission housing 360 through the brake 359.

The truth tables given in FIGS. 4b, 5b, 6b, 7b, 8b, 9b, 10b, 11b and 12b show the engagement sequences for the torque-transmitting mechanisms to provide at least seven forward speed ratios and one reverse ratio. As shown and described above for
the configuration in FIGS. 1a, 2a and 3a, those skilled in the art will understand from the respective truth tables how the speed ratios are established through the planetary gear sets identified in the written description.

The truth table shown in FIG. 4b describes the engagement combination and the engagement sequence necessary to provide the reverse drive ratio and seven forward speed ratios. A sample of the numerical values for the ratios is also provided in
the truth table of FIG. 4. These values are determined utilizing the ring gear/sun gear tooth ratios also given in FIG. 4b. The R1/S1 value is the tooth ratio for the planetary gear set 320; the R2/S2 value is the tooth ratio for the planetary gear set
330; and the R3/S3 value is the tooth ratio for the planetary gear set 340. Also given in FIG. 4b is a chart describing the step ratios between the adjacent forward speed ratios and the reverse to first forward speed ratio. For example, the first to
second forward speed ratio step is 1.71. It can be readily determined from the truth table of FIG. 4b that each of the forward single step ratio interchanges is a single transition shift, as are the double step interchanges. The chart also shows that
the torque-transmitting mechanisms 358 and 359 can be engaged through the neutral condition to simplify the forward/reverse interchange.

Those skilled in the art will recognize that the numerical value of the reverse speed ratio is determined utilizing the ring gear/sun gear tooth ratio of the planetary gear set 320. The numerical values of the first and second forward speed
ratios are determined utilizing the ring gear/sun gear tooth ratios of the planetary gear sets 320 and 340. The numerical value of the third forward speed ratio is determined utilizing the ring gear/sun gear tooth ratio of the planetary gear set 340.
The numerical value of the fourth forward speed ratio is 1. The numerical value of the fifth forward speed ratio is determined utilizing the ring gear/sun gear tooth ratios of the planetary gear sets 330 and 340. The numerical values of the sixth and
seventh forward speed ratios are determined utilizing the ring gear/sun gear tooth ratios of the planetary gear sets 320, 330 and 340.

The planetary gear set 420 includes a sun gear member 422, a ring gear member 424, and a planet carrier assembly 426. The planet carrier assembly 426 includes a plurality of pinion gears 427 rotatably mounted on a carrier member 429 and disposed
in meshing relationship with both the sun gear member 422 and the ring gear member 424.

The planetary gear set 430 includes a sun gear member 432, a ring gear member 434, and a planet carrier assembly member 436. The planet carrier assembly member 436 includes a plurality of pinion gears 437 rotatably mounted on a carrier member
439 and disposed in meshing relationship with both the sun gear member 432 and the ring gear member 434.

The planetary gear set 440 includes a sun gear member 442, a ring gear member 444, and a planet carrier assembly member 446. The planet carrier assembly member 446 includes a plurality of pinion gears 447 rotatably mounted on a carrier member
449 and disposed in meshing relationship with both the sun gear member 442 and the ring gear member 444.

The planetary gear arrangement 418 also includes six torque-transmitting mechanisms 450, 452, 454, 456, 458 and 459, each of which is a rotating-type torque-transmitting mechanism, commonly termed clutch.

The input shaft 17 is continuously connected with the sun gear member 422, and the output shaft 19 is continuously connected with the ring gear member 424. The sun gear member 442 is continuously connected with the transmission housing 460.

The sun gear member 422 is selectively connectable with the planet carrier assembly member 436 through the clutch 450. The ring gear member 424 is selectively connectable with the planet carrier assembly member 446 through the clutch 452. The
planet carrier assembly member 426 is selectively connectable with the sun gear member 432 through the clutch 454. The ring gear member 434 is selectively connectable with the planet carrier assembly member 446 through the clutch 456. The planet
carrier assembly member 436 is selectively connectable with the ring gear member 444 through the clutch 458. The sun gear member 432 is selectively connectable with the ring gear member 444 through the clutch 459.

The truth table shown in FIG. 5b describes the engagement combination and sequence of the torque-transmitting mechanisms 450, 452, 454, 456, 458 and 459 that are employed to provide the reverse drive ratio and the seven forward speed ratios. It
should be noted that the torque-transmitting mechanisms 454, 456 and 458 are engaged through the neutral condition to simplify the forward/reverse interchange.

Also given in the truth table of FIG. 5b is a set of numerical values that are attainable with the present invention utilizing the ring gear/sun gear tooth ratios shown. The R1/S1 value is the tooth ratio of the planetary gear set 420; the R2/S2
value is the tooth ratio of the planetary gear set 430; and the R3/S3 value is the tooth ratio of the planetary gear set 440. As can also be determined from the truth table of FIG. 5b, the single step forward interchanges are single transition shifts,
as are the double step interchanges in the forward direction.

FIG. 5b also provides a chart of the ratio steps between adjacent forward ratios and between the reverse and first forward ratio. For example, the ratio step between the first and second forward ratios is 1.91. Those skilled in the art will
recognize that the numerical value of the reverse speed ratio is determined utilizing the ring gear/sun gear tooth ratio of the planetary gear set 420. The numerical values of the first, sixth and seventh forward speed ratios are determined utilizing
the ring gear/sun gear tooth ratios of the planetary gear sets 420, 430 and 440. The numerical value of the second forward speed ratio is determined utilizing the ring gear/sun gear tooth ratios of the planetary gear sets 420 and 440. The numerical
value of the third forward speed ratio is determined utilizing the ring gear/sun gear tooth ratio of the planetary gear set 440. The numerical value of the fourth forward speed ratio is determined utilizing the ring gear/sun gear tooth ratios of the
planetary gear sets 430 and 440. The numerical value of the fifth forward speed ratio is determined utilizing the ring gear/sun gear tooth ratios of the planetary gear sets 420 and 430.

A powertrain 510, shown in FIG. 6a, includes an engine and torque converter 12, a planetary gear transmission 514 and the final drive mechanism 16. The planetary transmission 514 includes the input shaft 17, a planetary gear arrangement 518 and
the output shaft 19. The planetary gear arrangement 518 includes three planetary gear sets 520, 530 and 540.

The planetary gear set 520 includes a sun gear member 522, a ring gear member 524, and a planet carrier assembly 526. The planet carrier assembly 526 includes a plurality of pinion gears 527 rotatably mounted on a carrier member 529 and disposed
in meshing relationship with both the sun gear member 522 and the ring gear member 524.

The planetary gear set 530 includes a sun gear member 532, a ring gear member 534, and a planet carrier assembly member 536. The planet carrier assembly member 536 includes a plurality of pinion gears 537 rotatably mounted on a carrier member
539 and disposed in meshing relationship with both the sun gear member 532 and the ring gear member 534.

The planetary gear set 540 includes a sun gear member 542, a ring gear member 544, and a planet carrier assembly member 546. The planet carrier assembly member 546 includes a plurality of pinion gears 547 rotatably mounted on a carrier member
549 and disposed in meshing relationship with both the sun gear member 542 and the ring gear member 544.

The planetary gear arrangement 518 also includes six torque-transmitting mechanisms 550, 552, 554, 556, 558 and 559, each of which is a rotating-type torque-transmitting mechanism, commonly termed clutch.

The input shaft 17 is continuously connected with the sun gear member 522, and the output shaft 19 is continuously connected with the ring gear member 544. The sun gear member 532 is continuously connected with the transmission housing 560.

The sun gear member 522 is selectively connectable with the planet carrier assembly member 546 through the clutch 550. The ring gear member 524 is selectively connectable with the planet carrier assembly member 536 through the clutch 552. The
ring gear member 524 is selectively connectable with the ring gear member 534 through the clutch 554. The planet carrier assembly member 526 is selectively connectable with the sun gear member 542 through the clutch 556. The planet carrier assembly
member 536 is selectively connectable with the planet carrier assembly member 546 through the clutch 558. The ring gear member 534 is selectively connectable with the sun gear member 542 through the clutch 559.

The truth table shown in FIG. 6b describes the engagement sequence and combination of the torque-transmitting mechanisms to provide the reverse speed ratio and eight forward speed ratios. It should be noted that the torque-transmitting
mechanisms 552, 556 and 558 can remain engaged through the neutral condition, thereby simplifying the forward/reverse interchange. It can also be determined from the truth table of FIG. 6b that all of the single step forward ratio interchanges are of
the single transition variety, as are all of the double step forward interchanges. The chart of FIG. 6b describes the ratio steps between adjacent forward speed ratios and the ratio step between the reverse and first forward speed ratio.

Those skilled in the art, upon reviewing the truth table and the schematic representation of FIG. 6a, can determine that the numerical values of the reverse and seventh forward speed ratios are determined utilizing the ring gear/sun gear tooth
ratios of the planetary gear sets 520 and 540. The numerical values of the first, fourth and sixth forward speed ratios are determined utilizing the ring gear/sun gear tooth ratios of the planetary gear sets 520, 530 and 540. The numerical values of
the second and third forward speed ratios are determined utilizing the ring gear/sun gear tooth ratios of the planetary gear sets 530 and 540. The numerical value of the fifth forward speed ratio is 1. The numerical value of the eighth forward'speed
ratio is determined utilizing the ring gear/sun gear tooth ratio of the planetary gear set 540.

The sample speed ratios given in the truth table are determined utilizing the tooth ratio values also given in FIG. 6b. The R1/S1 value is the tooth ratio of the planetary gear set 520; the R2/S2 value is the tooth ratio of the planetary gear
set 530; and the R3/S3 value is the tooth ratio of the planetary gear set 540.

A powertrain 610, shown in FIG. 7a, has the engine and torque converter 12, a planetary transmission 614 and the final drive mechanism 16. The planetary transmission 614 includes the input shaft 17, a planetary gear arrangement 618 and the
output shaft 19. The planetary gear arrangement 618 includes three planetary gear sets 620, 630 and 640.

The planetary gear set 620 includes a sun gear member 622, a ring gear member 624, and a planet carrier assembly 626. The planet carrier assembly 626 includes a plurality of pinion gears 627 rotatably mounted on a carrier member 629 and disposed
in meshing relationship with both the sun gear member 622 and the ring gear member 624.

The planetary gear set 630 includes a sun gear member 632, a ring gear member 634, and a planet carrier assembly member 636. The planet carrier assembly member 636 includes a plurality of pinion gears 637 rotatably mounted on a carrier member
639 and disposed in meshing relationship with both the sun gear member 632 and the ring gear member 634.

The planetary gear set 640 includes a sun gear member 642, a ring gear member 644, and a planet carrier assembly member 646. The planet carrier assembly member 646 includes a plurality of pinion gears 647 rotatably mounted on a carrier member
649 and disposed in meshing relationship with both the sun gear member 642 and the ring gear member 644.

The planetary gear arrangement 618 also includes six torque-transmitting mechanisms 650, 652, 654, 656, 658 and 659, each of which is a rotating-type torque-transmitting mechanism, commonly termed clutch.

The input shaft 17 is continuously connected with the sun gear member 622, and the output shaft 19 is continuously connected with the sun gear member 642. The sun gear member 632 is continuously connected with the transmission housing 660.

The sun gear member 622 is selectively connectable with the planet carrier assembly member 636 through the clutch 650. The planet carrier assembly member 626 is selectively connectable with the ring gear member 634 through the clutch 652. The
ring gear member 624 is selectively connectable with the sun gear member 642 through the clutch 654. The ring gear member 624 is selectively connectable with the ring gear member 644 through the clutch 656. The planet carrier assembly member 636 is
selectively connectable with the planet carrier assembly member 646 through the clutch 658. The ring gear member 634 is selectively connectable with the planet carrier assembly member 646 through the clutch 659.

The truth table shown in FIG. 7b describes the combination of torque-transmitting mechanism engagements that will provide the reverse drive ratio and seven forward speed ratios, as well as the sequence of these engagements and interchanges. The
torque-transmitting mechanisms 652, 656 and 658 can be engaged through the neutral condition, thereby simplifying the forward/reverse interchange. It can be noted from the truth table that each of the single step forward interchanges are single
transition ratio changes, as are the double step forward interchanges.

The ratio values given are by way of example and are established utilizing the ring gear/sun gear tooth ratios given in FIG. 7b. For example, the R1/S1 value is the tooth ratio of the planetary gear set 620; the R2/S2 value is the tooth ratio of
the planetary gear set 630; and the R3/S3 value is the tooth ratio of the planetary gear set 640. The ratio steps between adjacent forward ratios and the reverse to first ratio are also given in FIG. 7b.

Those skilled in the art will, upon reviewing the truth table of FIG. 7b, recognize that the numerical value of the reverse speed ratio is determined utilizing the ring gear/sun gear tooth ratio of the planetary gear set 620. The numerical
values of the first and fifth forward speed ratios are determined utilizing the ring gear/sun gear tooth ratios of the planetary gear sets 620, 630 and 640. The numerical values of the second and seventh forward speed ratios are determined utilizing the
ring gear/sun gear tooth ratios of the planetary gear sets 620 and 630. The numerical-value of the third forward speed ratio is determined utilizing the ring gear/sun gear tooth ratios of the planetary gear sets 620 and 640. The numerical value of the
fourth forward speed ratio is 1. The numerical value of the sixth forward speed ratio is determined utilizing the ring gear/sun gear tooth ratio of the planetary gear set 630.

A powertrain 710, shown in FIG. 8a, has the conventional engine and torque converter 12, a planetary transmission 714, and the conventional final drive mechanism 16. The engine and torque converter 12 are drivingly connected with the planetary
transmission 714 through the input shaft 17. The planetary transmission 714 is drivingly connected with the final drive mechanism 16 through the output shaft 19. The planetary transmission 714 includes a planetary gear arrangement 718 that has a first
planetary gear set 720, a second planetary gear set 730, and a third planetary gear set 740.

The planetary gear set 720 includes a sun gear member 722, a ring gear member 724, and a planet carrier assembly 726. The planet carrier assembly 726 includes a plurality of pinion gears 727 rotatably mounted on a carrier member 729 and disposed
in meshing relationship with both the sun gear member 722 and the ring gear member 724.

The planetary gear set 730 includes a sun gear member 732, a ring gear member 734, and a planet carrier assembly member 736. The planet carrier assembly member 736 includes a plurality of pinion gears 737 rotatably mounted on a carrier member
739 and disposed in meshing relationship with both the sun gear member 732 and the ring gear member 734.

The planetary gear set 740 includes a sun gear member 742, a ring gear member 744, and a planet carrier assembly member 746. The planet carrier assembly member 746 includes a plurality of pinion gears 747 rotatably mounted on a carrier member
749 and disposed in meshing relationship with both the sun gear member 742 and the ring gear member 744.

The input shaft 17 is continuously connected with the planet carrier assembly member 736, and the output shaft 19 is continuously connected with the ring gear member 744. The ring gear member 734 is continuously connected with the transmission
housing 760.

The ring gear member 726 is selectively connectable with the ring gear member 746 through the clutch 750. The ring gear member 724 is selectively connectable with the planet carrier assembly member 736 through the clutch 752. The ring gear
member 724 is selectively connectable with the sun gear member 742 through the clutch 754. The sun gear member 722 is selectively connectable with the sun gear member 742 through the clutch 756. The sun gear member 732 is selectively connectable with
the planet carrier assembly member 746 through the clutch 758. The planet carrier assembly member 726 is selectively connectable with the transmission housing 760 through the brake 759.

The truth table of FIG. 8b defines the torque-transmitting mechanism engagement sequence utilized for each of the forward speed ratios and the reverse speed ratio. Also given in the truth table is a set of numerical values that are attainable
with the present invention utilizing the ring gear/sun gear tooth ratios given in FIG. 8b. The R1/S1 value is the tooth ratio of the planetary gear set 720; the P2/S2 value is the tooth ratio of the planetary gear set 730; and the R3/S3 value is the
tooth ratio of the planetary gear set 740. As can also be determined from the truth table of FIG. 8b, the single step forward interchanges are single transition shifts, as are the double step interchanges in the forward direction.

FIG. 8b also provides a chart of the ratio steps between adjacent forward ratios and between the reverse and first forward ratio. For example, the ratio step between the first and second forward ratios is 1.74. Those skilled in the art will
recognize that the numerical value of the reverse speed ratio is determined utilizing the ring gear/sun gear tooth ratio of the planetary gear set 740. The numerical value of the first forward speed ratio is determined utilizing the ring gear/sun gear
tooth ratios of the planetary gear sets 720 and 740. The numerical value of the second forward speed ratio is 1. The numerical values of the third and seventh forward speed ratios are determined utilizing the ring gear/sun gear tooth ratios of the
planetary gear sets 720, 730 and 740. The numerical value of the fourth forward speed ratio is determined utilizing the ring gear/sun gear tooth ratio of the planetary gear set 730. The numerical values of the fifth and sixth forward speed ratios are
determined it utilizing the ring gear/sun gear tooth ratios of the planetary gear sets 730 and 740.

A powertrain 810, shown in FIG. 9a, has the conventional engine and torque converter 12, a planetary transmission 814, and the final drive mechanism 16. The engine and torque converter 12 are drivingly connected with the planetary transmission
814 through the input shaft 17. The planetary transmission 814 is drivingly connected with the final drive mechanism 16 through the output shaft 19. The planetary transmission 814 includes a planetary gear arrangement 818 that has a first planetary
gear set 820, a second planetary gear set 830, and a third planetary gear set 840.

The planetary gear set 820 includes a sun gear member 822, a ring gear member 824, and a planet carrier assembly 826. The planet carrier assembly 826 includes a plurality of pinion gears 827 and 828 rotatably mounted on a carrier member 829 and
disposed in meshing relationship with both the sun gear member 822 and the ring gear member 824.

The planetary gear set 830 includes a sun gear member 832, a ring gear member 834, and a planet carrier assembly member 836. The planet carrier assembly member 836 includes a plurality of pinion gears 837 rotatably mounted on a carrier member
839 and disposed in meshing relationship with both the sun gear member 832 and the ring gear member 834.

The planetary gear set 840 includes a sun gear member 842, a ring gear member 844, and a planet carrier assembly member 846. The planet carrier assembly member 846 includes a plurality of pinion gears 847 rotatably mounted on a carrier member
849 and disposed in meshing relationship with both the sun gear member 842 and the ring gear member 844.

The input shaft 17 is continuously connected with the sun gear-member 822, and the output shaft 19 is continuously connected with the ring gear member 844. The sun gear member 832 is continuously connected with the transmission housing 860.

The planet carrier assembly member 846 is selectively connectable with the sun gear member 822 through the clutch 850. The ring gear member 824 is selectively connectable with the ring gear member 834 through the clutch 852. The planet carrier
assembly member 826 is selectively connectable with the sun gear member 842 through the clutch 854. The planet carrier assembly member 836 is selectively connectable with the planet carrier assembly member 846 through the clutch 856. The planet carrier
assembly member 836 is selectively connectable with the sun gear member 842 through the clutch 858. The ring gear member 824 is selectively connectable with the transmission housing 860 through the brake 859.

The truth table shown in FIG. 9b defines the torque-transmitting mechanism engagement sequence that provides the reverse ratio and seven forward speed ratios shown in the truth table and available with the planetary gear arrangement 818. The
truth table indicates that the torque-transmitting mechanisms 854, 856 and 859 can remain engaged through the neutral condition, thereby simplifying the forward/reverse interchange. A sample of numerical values for the individual ratios is also given in
the truth table of FIG. 9b. These numerical values have been calculated using the ring gear/sun gear tooth ratios also given by way of example in FIG. 9b. The R1/S1 value is the tooth ratio of the planetary gear set 820; the R2/S2 value is the tooth
ratio of the planetary gear set 830; and the R3/S3 value is the tooth ratio of the planetary gear set 840. It can be readily recognized from the truth table that all of the single and double step forward interchanges are single transition ratio
interchanges. FIG. 9b also describes the ratio steps between adjacent forward ratios and between the reverse and first forward ratio. For example, the ratio step between the first and second forward ratios is 1.73.

Those skilled in the art of planetary transmissions will recognize that the numerical value of the reverse speed ratio is determined utilizing the ring gear/sun gear tooth ratio of the planetary gear set 820. The numerical values of the first
and seventh forward speed ratios are determined utilizing the ring gear/sun gear tooth ratios of the planetary gear sets 820 and 840. The numerical value of the second forward speed ratio is determined utilizing the ring gear/sun gear tooth ratios of
the planetary gear sets 820 and 830. The numerical values of the third and fifth forward speed ratios are determined utilizing the ring gear/sun gear tooth ratios of the planetary gear sets 820, 830 and 840. The numerical value of the fourth forward
speed ratio is 1. The numerical value of the sixth forward speed ratio is determined utilizing the ring gear/sun gear tooth ratio of the planetary gear set 840.

The powertrain 910, shown in FIG. 10a, includes the conventional engine and torque converter 12, a planetary transmission 914, and the conventional final drive mechanism 16. The engine and torque converter 12 are drivingly connected with the
planetary transmission 914 through the input shaft 17. The planetary transmission 914 is drivingly connected with the final drive mechanism 16 through the output shaft 19. The planetary transmission 914 includes a planetary gear arrangement 918 that
has a first planetary gear set 920, a second planetary gear set 930, and a third planetary gear set 940.

The planetary gear set 920 includes a sun gear member 922, a ring gear member 924, and a planet carrier assembly 926. The planet carrier assembly 926 includes a plurality of pinion gears 927 that are rotatably mounted on a carrier member 929 and
disposed in meshing relationship with the sun gear member 922 and the ring gear member 924, respectively.

The planetary gear set 930 includes a sun gear member 932, a ring gear member 934, and a planet carrier assembly member 936. The planet carrier assembly member 936 includes a plurality of pinion gears 937 and 938 rotatably mounted on a carrier
member 939 and disposed in meshing relationship with both the sun gear member 932 and the ring gear member 934.

The planetary gear set 940 includes a sun gear member 942, a ring gear member 944, and a planet carrier assembly member 946. The planet carrier assembly member 946 includes a plurality of pinion gears 947 rotatably mounted on a carrier member
949 and disposed in meshing relationship with both the sun gear member 942 and the ring gear member 944.

The input shaft 17 is continuously connected with the ring gear member 924, and the output shaft 19 is continuously connected with the ring gear member 944. The sun gear member 932 is continuously connected with the transmission housing 960.

The ring gear member 924 is selectively connectable with the planet carrier assembly member 946 through the clutch 950. The planet carrier assembly member 936 is selectively connectable with the sun gear member 922 through the clutch 952. The
planet carrier assembly member 926 is selectively connectable with the sun gear member 942 through the clutch 954. The planet carrier assembly member 936 is selectively connectable with the sun gear member 942 through the clutch 956. The ring gear
member 934 is selectively connectable with the planet carrier assembly member 946 through the clutch 958. The sun gear member 922 is selectively connectable with the transmission housing 960 through the brake 959.

The truth table of FIG. 10b describes the torque-transmitting mechanism engagement sequence utilized to provide the reverse speed ratio and seven forward speed ratios. The truth table also provides a set of examples for the ratios for each of
the reverse and forward speed ratios. These numerical values have been determined utilizing the ring gear/sun gear tooth ratios given in FIG. 10b. The R1/S1 value is the tooth ratio of the planetary gear set 920; the R2/S2 value is the tooth ratio of
the planetary gear set 930; and the R3/S3 value is the tooth ratio of the planetary gear set 940. It can also be determined from the truth table of FIG. 10b that each of the forward single step ratio interchanges are of the single transition variety, as
are the double step interchanges.

Those skilled in the art, upon reviewing the engagement combinations, will recognize that the numerical values of the reverse and sixth forward speed ratios are determined utilizing the ring gear/sun gear tooth ratios of the planetary gear sets
920 and 940. The numerical values of the first and fourth forward speed ratios are determined utilizing the ring gear/sun gear tooth ratios of the planetary gear sets 920, 930 and 940. The numerical values of the second and third forward speed ratios
are determined utilizing the ring gear/sun gear tooth ratios of the planetary gear sets 930 and 940. The numerical value of the fifth forward speed ratio is 1. The numerical value of the seventh forward speed ratio is determined utilizing the ring
gear/sun gear tooth ratio of the planetary gear set 940.

A powertrain 1010, shown in FIG. 11a, includes the conventional engine and torque converter 12, a planetary transmission 1014, and the conventional final drive mechanism 16. The engine and torque converter are drivingly connected with the
planetary transmission 1014 through the input shaft 17. The planetary transmission 1014 is drivingly connected with the final drive mechanism 16 through the output shaft 19. The planetary transmission 1014 includes a planetary gear arrangement 1018
that has a first planetary gear set 1020, a second planetary gear set 1030, and a third planetary gear set 1040.

The planetary gear set 1020 includes a sun gear member 1022, a ring gear member 1024, and a planet carrier assembly 1026. The planet carrier assembly 1026 includes a plurality of pinion gears 1027 rotatably mounted on a carrier member 1029 and
disposed in meshing relationship with both the sun gear member 1022 and the ring gear member 1024.

The planetary gear set 1030 includes a sun gear member 1032, a ring gear member 1034, and a planet carrier assembly member 1036. The planet carrier assembly member 1036 includes a plurality of pinion gears 1037 and 1038 rotatably mounted on a
carrier member 1039 and disposed in meshing relationship with both the sun gear member 1032 and the ring gear member 1034.

The planetary gear set 1040 includes a sun gear member 1042, a ring gear member 1044, and a planet carrier assembly member 1046. The planet carrier assembly member 1046 includes a plurality of pinion gears 1047 rotatably mounted on a carrier
member 1049 and disposed in meshing relationship with both the sun gear member 1042 and the ring gear member 1044.

The input shaft 17 is continuously connected with the sun gear member 1032, and the output shaft 19 is continuously connected with the ring gear member 1044. The planet carrier assembly member 1036 is continuously connected with the transmission
housing 1060.

The planet carrier assembly member 1046 is selectively connectable with the planet carrier assembly member 1026 through the clutch 1050. The ring gear member 1024 is selectively connectable with the ring gear member 1034 through the clutch 1052. The ring gear member 1024 is selectively connectable with the sun gear member 1042 through the clutch 1054. The sun gear member 1022 is selectively connectable with the sun gear member 1042 through the clutch 1056. The sun gear member 1032 is
selectively connectable with the planet carrier assembly member 1046 through the clutch 1058. The planet carrier assembly member 1026 is selectively connectable with the transmission housing 1060 through the brake 1059.

The truth table shown in FIG. 11b describes the engagement combinations and the engagement sequence necessary to provide the reverse drive ratio and the seven forward speed ratios. A sample of the numerical values for the ratios is also provided
in the truth table of FIG. 11b. These values are determined utilizing the ring gear/sun gear tooth ratios also given in FIG. 11b. The R1/S1 value is the tooth ratio for the planetary gear set 1020; the R2/S2 value is the tooth ratio for the planetary
gear set 1030; and the R3/S3 value is the tooth ratio for the planetary gear set 1040. Also given in FIG. 11b is a chart describing the step ratios between the adjacent forward speed ratios and the reverse to first forward speed ratio.

Those skilled in the art will recognize that the numerical values of the reverse and fifth forward speed ratios are determined utilizing the ring gear/sun gear tooth ratios of the planetary gear sets 1030 and 1040. The numerical values of the
first, third and seventh forward speed ratios are determined utilizing the ring gear/sun gear tooth ratios of the planetary gear sets 1020, 1030 and 1040. The numerical value of the second forward speed ratio is determined utilizing the ring gear/sun
gear tooth ratio of the planetary gear set 1030. The numerical value of the fourth forward speed ratio is 1. The numerical value of the sixth forward speed ratio is determined utilizing the ring gear/sun gear tooth ratio of the planetary gear set 1040.

A powertrain 1110, shown in FIG. 12a, has a conventional engine and torque converter 12, a planetary transmission 1114, and the conventional final drive mechanism 16. The planetary transmission 1114 includes a planetary gear arrangement 1118
which is connected with the engine and torque converter 12 through the input shaft 17 and with the final drive mechanism 16 through the output shaft 19. The planetary gear arrangement 1118 includes three planetary gear sets 1120, 1130 and 1140.

The planetary gear set 1120 includes a sun gear member 1122, a ring gear member 1124, and a planet carrier assembly 1126. The planet carrier assembly 1126 includes a plurality of pinion gears 1127 rotatably mounted on a carrier member 1129 and
disposed in meshing relationship with both the sun gear member 1122 and the ring gear member 1124.

The planetary gear set 1130 includes a sun gear member 1132, a ring gear member 1134, and a planet carrier assembly member 1136. The planet carrier assembly member 1136 includes a plurality of intermeshing pinion gears 1137 that are rotatably
mounted on a carrier member 1139 and disposed in meshing relationship with both the sun gear member 1132 and the ring gear member 1134.

The planetary gear set 1140 includes a sun gear member 1142, a ring gear member 1144, and a planet carrier assembly member 1146. The planet carrier assembly member 1146 includes a plurality of pinion gears 1147 rotatably mounted on a carrier
member 1149 and disposed in meshing relationship with both the sun gear member 1142 and the ring gear member 1144.

The input shaft 17 is continuously connected with the sun gear member 1122, and the output shaft 19 is continuously connected with the sun gear member 1142. The sun gear member 1132 is continuously connected with the transmission housing 1160.

The planet carrier assembly member 1146 is selectively connectable with the sun gear member 1122 through the clutch 1150. The planet carrier assembly member 1136 is selectively connectable with the ring gear member 1124 through the clutch 1152.
The planet carrier assembly member 1126 is selectively connectable with the ring gear member 1144 through the clutch 1154. The ring gear member 1134 is selectively connectable with the planet carrier assembly member 1146 through the clutch 1156. The
ring gear member 1134 is selectively connectable with the ring gear member 1144 through the clutch 1158. The ring gear member 1124 is selectively connectable with the transmission housing 1160 through the brake 1159.

The truth table shown in FIG. 12b describes the engagement sequence and engagement combinations utilized with the present family member to provide a reverse drive ratio and seven forward speed ratios. The truth table of FIG. 12b also provides a
set of example numbers that can be established in the planetary gear arrangement 1118 utilizing the ring gear/sun gear tooth ratios. The R1/S1 value is the ring gear/sun gear tooth ratio of the planetary gear set 1120; the R2/S2 value is the ring
gear/sun gear tooth ratio of the planetary gear set 1130; and the R3/S3 value is the ring gear/sun gear tooth ratio of the planetary gear set 1140.

The chart of FIG. 12b describes the ratio steps between adjacent forward speed ratios for a seven-speed transmission. These step ratios are established utilizing the example speed ratios given in the truth table. As also shown in the truth
table, the torque-transmitting mechanisms 1154, 1156 and 1159 can remain engaged through the neutral condition, thereby simplifying the forward/reverse interchange.

Those skilled in the art will recognize that the numerical values of the reverse and sixth forward speed ratios are determined utilizing the ring gear/sun gear tooth ratios of the planetary gear sets 1120 and 1140. The numerical value of the
first forward speed ratio is determined utilizing the ring gear/sun gear tooth ratio of the planetary gear set 1120. The numerical value of the second forward speed ratio is determined utilizing the ring gear/sun gear tooth ratios of the planetary gear
sets 1120 and 1130. The numerical value of the third forward speed ratio is 1. The numerical values of the fourth and fifth forward speed ratios are determined utilizing the ring gear/sun gear tooth ratios of the planetary gear sets 1120, 1130 and
1140. The numerical value of the seventh forward speed ratio is determined utilizing the ring gear/sun gear tooth ratio of the planetary gear set 1140.

While the best modes for carrying out the invention have been described in detail, those familiar with the art to which this invention relates will recognize various alternative designs and embodiments for practicing the invention within the
scope of the appended claims.